Preliminary Mathematics Revision Cards

Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
Acute Angle / Right-angle
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0 <  < 90 /
 = 90
Geometry – Preliminary Math / Geometry – Preliminary Math
Obtuse Angle / Straight Angle
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90 <  < 180 /
 = 180
Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
Reflex Angle / Revolution
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180 <  < 360 /
 = 360
Geometry – Preliminary Math / Geometry – Preliminary Math
Vertically Opposite
Angles / Alternate Angles
between
parallel lines
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 =  / {Z}


Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
Corresponding Angles
Between
Parallel Lines / Co-interior Angles
Between
Parallel Lines
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{F}

 / {C}


Geometry – Preliminary Math / Geometry – Preliminary Math
Tests for parallellines. / Scalene Triangle
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Prove that the AlternateorCorresponding angles are equal
or
the co-interior angles addto180o /
All sides are different.
All angles are different.
Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
Isosceles Triangle / Equilateral Triangle
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Two sides equal.
Two base angles equal. /
All sides equal
All angles equal 60o
Geometry – Preliminary Math / Geometry – Preliminary Math
Right-angled Triangle / Obtuse-angled Triangle
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One angle = 90o /
One angle is obtuse
90o < 180o
Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
Acute-angled Triangle / Angle Sum of a Triangle
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All angles are acute.
0o < 90o /
a + b + g = 180o
Geometry – Preliminary Math / Geometry – Preliminary Math
Exterior angle of a triangle. / Which Congruence Rule?

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a = b + g
The exterior angle a equals the sum of the interior opposite angles, bg. / SSS
Side, Side, Side
Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
Which Congruence Rule?
/ Which Congruence Rule?

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SAS
Side, Angle (include), Side. / AAS
Angle, Angle, Side(corresponding).
Geometry – Preliminary Math / Geometry – Preliminary Math
Which Congruence Rule?
/ Which Similarity Rule?

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RHS
Right-angle, hypotenuse, side(corresponding) / All three pairs ofcorresponding angles areequal.
Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
Which Similarity Rule?
/ Which Similarity Rule?

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All three pairs of corresponding sides are in proportion. (Inthesameratio) / Two corresponding sides arein the same ratio and theirincluded angles are equal.
Geometry – Preliminary Math / Geometry – Preliminary Math
Ratio of intercepts?
/ Pythagoras Theorem

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Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
How do you prove that a triangle has a right-angle? / What is a quadrilateral?
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Show that Pythagoras theoremis works for thistriangle. / Any 4 sided plane figure.
Geometry – Preliminary Math / Geometry – Preliminary Math
What is the angle sum of a quadrilateral? / List 4 properties of a parallelogram.
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360o /
  1. Opposite sides equal.
  2. Opposite angles equal.
  3. One pair of sides is both equal and parallel.
  4. Diagonals bisect it into two congruent triangles.

Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
List 4 tests for a parallelogram. / List the properties of a rectangle.
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  1. Both pairs of opposite sides are equal.
  2. Both pairs of opposite angles are equal.
  3. One pair of sides are both equal and parallel
  4. Diagonals bisect each other.
/
  1. Same as parallelogram.
  2. Angles equal 90o.
  3. Diagonals are equal.

Geometry – Preliminary Math / Geometry – Preliminary Math
List four properties of a Rhombus. / List two tests for a Rhombus.
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  1. Same as parallelogram.
  2. All sides equal
  3. Diagonals bisect each other at right angles.
  4. Diagonals bisect the angles.
/
  1. All sides are equal
  2. Diagonals bisect at 90o.

Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
List four properties of a Square. / What is a Trapezium?
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  1. Same as a rectangle, plus
  2. A pair of equal adjacent sides.
  3. Diagonals perpendicular.
  4. Diagonals make a 45o angle with the sides.
/ A quadrilateral with one pair of parallel sides.

Geometry – Preliminary Math / Geometry – Preliminary Math
What is a Kite? / What is a regular polygon?
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A quadrilateral with two pairs of adjacent sides equal.
/ A plain figure with straight sides and has all sides and interior angles equal.
Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
Interior Angle Sum of a Polygon. / Exterior Angle Sum of a Polygon.
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S = 180n - 360 / 360o
Geometry – Preliminary Math / Geometry – Preliminary Math
Area of a Rectangle? / Area of a Square?
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A = L x B / A = L2
Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
Area of a Triangle?
/ Area of Parallelogram?

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A = / A = bh
Geometry – Preliminary Math / Geometry – Preliminary Math
Area of a Rhombus?
/ Area of a Trapezium?

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Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math
What is the area of a circle? /

Rectangular Prism

  1. Surface Area
  1. Volume

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Geometry – Preliminary Math / Geometry – Preliminary Math

Cube

  1. Surface Area
  1. Volume
/

Cylinder

  1. Surface Area
  1. Volume

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Geometry – Preliminary Math Basic Arithmetic – Preliminary Math / Geometry – Preliminary Math

Sphere

  1. Surface Area
  1. Volume
/

Cone

  1. Surface Area
  1. Volume

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Geometry – Preliminary Math / Geometry – Preliminary Math
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